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Question

Direction: Study the table given below and answer the following question.

City

Population

Literate

Illiterate

% of literates

A

200

150

50

-

B

-

200

100

66.6

C

150

50

100

-

D

120

-

90

25

Based on the given data, the percentage of literates in city A is _________.

The correct answer is

75

Calculating Percentage of Literates in City A

To find the percentage of literates in City A, we need to use the data provided in the table. The table gives us the total population, the number of literate individuals, and the number of illiterate individuals for different cities.

Here is the given data table:

City Population Literate Illiterate % of literates
A 200 150 50 -
B - 200 100 66.6
C 150 50 100 -
D 120 - 90 25

The question specifically asks for the percentage of literates in City A.

Understanding Percentage of Literates

The percentage of literates in a city is calculated by dividing the number of literate people by the total population of the city and then multiplying the result by 100. The formula is:

\( \text{% of Literates} = \left( \frac{\text{Number of Literate People}}{\text{Total Population}} \right) \times 100 \)

Applying the Formula for City A

From the table, for City A:

  • Total Population = 200
  • Number of Literate People = 150
  • Number of Illiterate People = 50

We can verify that the sum of literate and illiterate people equals the total population for City A: $150 + 50 = 200$.

Now, let's calculate the percentage of literates in City A using the formula:

\( \text{% of Literates in City A} = \left( \frac{\text{Literate in City A}}{\text{Population of City A}} \right) \times 100 \)

Substitute the values for City A:

\( \text{% of Literates in City A} = \left( \frac{150}{200} \right) \times 100 \)

Simplify the fraction:

\( \text{% of Literates in City A} = \left( \frac{15}{20} \right) \times 100 \)

\( \text{% of Literates in City A} = \left( \frac{3}{4} \right) \times 100 \)

Perform the multiplication:

\( \text{% of Literates in City A} = 0.75 \times 100 \)

\( \text{% of Literates in City A} = 75 \)

So, the percentage of literates in City A is 75%.

This calculation matches one of the given options.

Let's briefly look at how the other missing values in the table could be calculated, although it's not required to answer the question about City A.

  • For City B: Population = Literate + Illiterate = 200 + 100 = 300. % of literates = (200/300) * 100 $\approx$ 66.67%, which matches the given 66.6 (likely rounded).
  • For City C: % of literates = (50/150) * 100 = (1/3) * 100 $\approx$ 33.33%.
  • For City D: Illiterate = 90. % of literates = 25%. This means 75% are illiterate. If 75% of Population = 90, then Population = 90 / 0.75 = 120. Literate = Population - Illiterate = 120 - 90 = 30. % of literates = (30/120) * 100 = (1/4) * 100 = 25%. All values align.

However, the question only asked for City A, which we calculated to be 75%.

Summary of City A Data

  • Population: 200
  • Literate: 150
  • Illiterate: 50
  • Percentage of Literates: 75%

The percentage of literates in City A is indeed 75%.

Revision Table: Key Concepts for Data Interpretation

Concept Definition/Explanation How it Applies Here
Population The total number of people in a specific area (like a city). The base number used to calculate percentages of specific groups (literate, illiterate).
Literate Population People who can read and write. The number of people in the numerator when calculating the literacy rate or percentage of literates.
Illiterate Population People who cannot read or write. The number of people not included in the literate population. Population = Literate + Illiterate.
Percentage Calculation A way to express a part of a whole as a fraction of 100. Calculated as \(( \text{Part} / \text{Whole} ) \times 100\). Used to find the percentage of literate people relative to the total population.
Data Table Analysis Reading and interpreting information presented in rows and columns. Extracting the relevant population and literate numbers for City A from the table.

Additional Information: Understanding Literacy Rates

Literacy rate is a crucial demographic indicator used worldwide. It reflects the proportion of the population aged 7 years and above who can both read and write with understanding in any language.

  • Importance: High literacy rates are often linked to socio-economic development, better health outcomes, and increased civic participation. Education is fundamental for personal and societal growth.
  • Calculation Variation: While our problem used total population, literacy rates are often calculated for a specific age group (e.g., 15 years and above, or 7 years and above) to better measure the effectively literate part of the population capable of contributing to the economy and society in ways that require reading and writing skills.
  • Global Context: Literacy rates vary significantly across countries and regions, influenced by factors like access to education, poverty, gender inequality, and conflict. International organizations like UNESCO track global literacy trends.
  • Data Sources: Data for literacy rates typically comes from national censuses, large-scale sample surveys, and administrative data from schools.

Analyzing data like the one presented in the table helps in understanding the educational status within different populations and can inform policy decisions related to education and development.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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